31844 ÷ 5 = 6368 R4
Alright, let's work through the division of 31844 by 5 step by step.

Step 1:
5 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 5

Step 2:
5 goes into 31 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 30 from 31 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 5

Step 3:
5 goes into 18 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 63
Subtract 15 from 18 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 5

Step 4:
5 goes into 34 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 636
Subtract 30 from 34 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 5

Step 5:
5 goes into 44 8 times with a remainder of 4.
Write down 8 as next digit of of the result. 
Result so far: 6368
Subtract 40 from 44 to get 4.

The final result is 6368 with a remainder of 4.